A sample of 400 large companies showed that 130 of them offer free health fitness centers to their employees on the company premises. If one company is selected at random from this sample, what is the probability that this company offers a free health fitness center to its employees on the company premises? What is the probability that this company does not offer a free health fitness center to its employees on the company premises? Do these two probabilities add up to 1.0? If yes, why?

Answer:

C

Step-by-step explanation:

Since the weight is proportional to the cost, let's find the slope of the chart.

(x,y) corresponds to (weight, cost)

Pick 2 coordinate points with both the weight and cost.

(4, 23.96) (6, 35.94)

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{35.94-23.96}{6-4}= 5.99[/tex]

One pound is 5.99 dollars.

So to fill in the chart, multiply 5.99 by the number of pounds.

y=5.99x

2 lbs | $11.98

3 lbs | $17.97

4 lbs | $23.96

5 lbs | $29.95

6 lbs | $35.94

With this information, C would be the correct answer.

The cost of the entrance ticket is $6.

The equation that can be used to represent the information in the question is:

Total cost = (number of students x entrance fee) + (cost to rent a skate x number of students)

$81 = 9t + ($3 x 9)

$81 =9t + $27

In order to determine the value of t, the following steps would be taken:

Combine similar terms

$81 - $27 = 9t

Subtract similar terms

54 = 9t

Divide both sides of the equation by 9

t = $6

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Answer:

To solve an equation is to determine the values of the variable that make the equation a true statement. Any number that makes the equation true is called a solution of the equation. It is the answer to the puzzle!

The equation m(x + n) = n​ si solved for x will be given as x = n / m (1 - m).

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation is given below.

m(x + n) = n​

By simplifying for x, then we have

x + n = n / m

     x = n / m - n

     x = (n - mn) / m

     x = n / m (1 - m)

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Answer:

88%

Step-by-step explanation:

You can do this pretty easily because percent is just decimals where the decimal is moved 2 units to the right.

Since the base is 25, and 3 of them are oatmeal, you can multiply by 4/4 to get a base of 100, to make this a lot easier.

3 / 25 = x / 100

3 x 4 = 12

12/100 are oatmeal.

Since you don't want the oatmeal, you subtract 100 by 12 to find the remaining of 88.

Answer:

88%

Step-by-step explanation:

1) 25-3=22 not oatmeal

2) proportion: 22/25 = x/100

cross multiply and divide

22x100 = 2200

2200/25 = 88

88%

#a

[tex]\\ \sf{:}\dashrightarrow 4^3=(2\times 2)^3=2^6[/tex]

#b

[tex]\\ \sf{:}\dashrightarrow 3^2.3^3=3^5[/tex]

#c

[tex]\\ \sf{:}\dashrightarrow (2^3)^4=2^{12}[/tex]

#d

[tex]\\ \sf{:}\dashrightarrow x^3y^4\checkmark[/tex]

#e

[tex]\\ \sf{:}\dashrightarrow 8x^2y^5=2^3x^2y^5[/tex]

#f

[tex]\\ \sf{:}\dashrightarrow( 9x^2)^2=(3^2x^2)^2=3^4x^4[/tex]

Answer:

f(2) =  Unidentified

Step-by-step explanation:

f(2) = ((2) +4)^2/(2)^2+2(2)-8

We can simplify the equation and get 36/4+4-8. After we simplify that we get 36/0. Since we have 0 as our denominator we know that our whole answer is unidentifiable.

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A.  ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

For this problem, we consider that we want it to be within 4%.

Item a:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2[/tex]

[tex]n = 600.25[/tex]

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is [tex]\pi = 0.96[/tex], hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2[/tex]

[tex]n = 92.2[/tex]

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to [tex]\pi = 0.5[/tex], the larger the sample size needed, hence, the correct option is A.

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Answer:

It's called a regular polygon

Answer:

A regular Polygon

Step-by-step explanation:

Answer:

53.73

Step-by-step explanation:

Answer: Choice A

Step-by-step explanation: You are given the inequality g is less than or equal to. Greater/less than and equal to, you use solid circle. Greater/less than, you use open circle. From there, you just look at the inequality in which direction is it going at and from there, you should be able to select your choice which happens to be the first one.

I hope this explanation helps.

Best to you!

Answer: 25x+1

Step-by-step explanation:

We cam make an equation to find the perimeter, [tex]2(6x-6.5)+2(6.5x+7)[/tex].

then we can simplify it to [tex]12x-13+13x+14[/tex], which we can then further simplify to 25x+1

Answer:

38inch2

Step-by-step explanation:

3inch*2inch+8inch*4inch

=6inch2+32inch2

=38inch2

Answer:

i think its 1/2

Step-by-step explanation:

Answer:

A. 1/2

1 over 2 is equal to 1/2

B. 1/2 Batch

Step-by-step explanation:

formula y2-y1 / x2-x1

m = 5 / -10 = 1 / -2 = -0.5

Answer:

1.25 miles or 5/4

Step-by-step explanation:

Take the two distances and add them together and simplify.

Answer: 1 & 1/4 mile

Explanation:

1/2 = 2/4

She walked 2/4 of a mile in the morning and 3/4 of a mile in the afternoon. The total she walked is 5/4 of a mile. We add the numerators and place the sum over the common denominator.

The improper fraction 5/4 converts to the mixed number 1 & 1/4, since,

5/4 = (4+1)/4 = 4/4 + 1/4 = 1 + 1/4 = 1 & 1/4

Answer:

30

Step-by-step explanation:

i did the math lol

Answer:

Can I have some vbucks?

Answer:

3k=48

Step-by-step explanation:

k=kim's age

3k=48

/3

k=16

Answer:

24/35

Step-by-step explanation:

Hope this helps!:)

The function f(x) = (x + 5)³ when expanded is f(x) = x³ + 15x² + 75x + 125

The function in the equation is given as

f(x) = (x+5)^3

Rewrite this function properly

So, we have the following representation

f(x) = (x + 5)³

Solving further, we need to expand the expression into factors

So, we have the following representation

f(x) = (x + 5)(x + 5)(x + 5)

Next, we expand the first two brackets in the equation

This gives

f(x) = (x² + 5x + 5x + 25)(x + 5)

Evaluate the like terms

This gives

f(x) = (x² + 10x + 25)(x + 5)

Solving further, we need to expand the last two brackets

So, we have the following representation

f(x) = (x³ + 5x² + 10x² + 50x + 25x + 125)

Evaluate the like terms

This gives

f(x) = (x³ + 15x² + 75x + 125)

Remove the brackets

So, we have

f(x) = x³ + 15x² + 75x + 125

Hence, the function is f(x) = x³ + 15x² + 75x + 125

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Answer:

b 16 adult is - 40 people end of day

Given that:

f(x) = 5(3)x-4

f(6) = 5(3)(6) - 4 ⇛15(6) - 4 ⇛90-4 ⇛86Ans.

Answer:

9/25

Step-by-step explanation:

find a number that both the top and bottom are divisible by,

23 is the greatest common division we can make such that the top and bottom remain whole numbers

so,

[tex]\frac{207 }{575}[/tex] ÷23

=(207/23)÷(575/23)

=[tex]\frac{9}{25}[/tex]

Answer:

a. 810

b. 27

c. 30

Step-by-step explanation:

Part a.

The volume is 9 * 9 * 10.

9 * 9 = 81, and 81 * 10 = 810.

Part b.

The volume of a cube is x^3, where x is the side length of the cube.

If x = 3, then 3^3 = 27.

Part c.

If each notebook has a volume of 27, then the maximum amount of notebooks that will fit in a box with volume 810 is 810/27 = 30 notebooks

a. The volume of the rectangular box is 810 inch³.

b. The volume of the notepad is 243 inch³.

c. The maximum number of notepads that will fit inside the box is 3.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, A paper company ships notepads in rectangular boxes that have dimensions measuring 9 inches long, 9 inches wide, and 10 inches tall.

Therefore, The volume of the box is, = (9×9×10) inch³.

= 810 inch³.

The dimensions of the notepad are 9 inches by 9 inches with an height of 3 inches.

Therefore, The volume of the notepad is = (9×9×3) = 243³ inches.

The maximum number of notepads that will fit inside thebox is,

= (810/243).

= 3.33 but it sholud only be 3 notepads.

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Answer:

Option D

Step-by-step explanation:

[tex]\\ \sf\longmapsto 2(4^x)[/tex]

Not like this

[tex]\\ \sf\longmapsto 2(4^x)=8^x [/tex](×)

Hence the variable has coefficient 4 as 4^x is multiplied.

Answer:

x=5.3984

Step-by-step explanation:

Answer:

310-200= T

Step-by-step explanation:

310 = 200 + x

Let’s break this down. 310 is their total earning, 200 is our set price for performing, and x represents how much she earned in tips.

310 = 200 + x

110 = x

Hope this helps!